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Finding the Fourth Proportional to 262,751.88, 394,131.06 and 75,765

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Solution

The fourth proportional to 262,751.88, 394,131.06 and 75,765 is: 113,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,751.88 : 394,131.06 = 75,765 : x
  2. Step 2: Convert to fraction form
    262,751.88/394,131.06 = 75,765/x
  3. Step 3: Cross multiply
    262,751.88x = 394,131.06 × 75,765
  4. Step 4: Simplify right side
    262,751.88x = 29,861,339,760.90
  5. Step 5: Solve for x
    x = 29,861,339,760.90/262,751.88
  6. Step 6: Final answer
    x = 113,648.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.